Properties of the Number 2809

Two Thousand Eight Hundred Nine

Basics

Value: 2808 → 2809 → 2810

Parity: odd

Prime: No

Previous Prime: 2803

Next Prime: 2819

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 53 ²

Divisors: 1, 53, 2809

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011111001

Octal: 5371

Duodecimal: 1761

Hexadecimal: af9

Square: 7890481

Square Root: 53

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Squares of primes. A1248

Odd squares: a(n) = (2n+1)². Also centered octagonal numbers. A16754

1 and the prime powers p^m where m >= 2, thus excluding the primes. A25475

Prime powers p^e where p is a prime and e >= 2 (prime powers without the primes or 1). A246547

Squarefree numbers squared. A62503

The Matula-Goebel numbers of the generalized Bethe trees. A generalized Bethe tree is a rooted tree in which vertices at the same level have the same degree. A214577

Numbers of the form p^e where both p and e are prime numbers. A53810

Least k such that there are exactly n ways to choose a sequence of divisors, one of each element of the multiset of prime indices of k (with multiplicity). A355732

a(1) = 1; for n > 1, a(n) = Min {m > n | m has same prime factors as n ignoring multiplicity}. A65642

Sum of squares of primes dividing n. A5063